Modules - 2025-2026

Core modules

Semester 1

• Algebraic Geometry
• Differential Topology

Semester 2

• Algebraic Topology
• Representation Theory

Supplementary modules

Previous supplementary modules

These modules ran previously, and are not currently running in this session.

• Advanced PDE I
• Advanced PDE II
• Advances in Numerical Methods for Hyperbolic and Kinetic Equations
• Algebraic Statistics
• Calculus of Variations
• Calculus of Variations and Dynamics
• Classical and Quantum Integrable Systems
• Combinatorics on Words
• Conformal Field Theory and Vertex Operator Algebras
• Convergence of Probability Measures and its Applications
• Data Science for Dynamical Systems
• Ethics in Mathematics
• Finance, Risk, Asset-Pricing, Credit Scoring etc.
• Finite Element Methods for PDEs
• Formal Groups
• Fourier and Harmonic Analysis
• Galois Theory of Commutative Rings
• Geometry of Gauge Fields
• Gradient Flows
• Gravity
• History of Mathematics
• Holography
• Homological Algebra
• Hopf Algebras
• Infinite Dimensional Dynamics
• Introduction to Geometric Group Theory
• Inverse Problems
• Mathematical Foundations of Elasticity Theory
• Quantum Computing
• Riemann Surfaces
• Riemann Surfaces and their Associated Moduli Spaces
• Stochastic Networks and Processes
• Stochastic PDEs: Applications and Numerics
• Topological Quantum Field Theory
• Variational methods for PDEs and nonlocal problems